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The table below shows the probability distribution of a random variable Y. Y P(Y) -14 0.61 -13 0.01 -12 0.03 -11 0.12 -10 0.23 What is the expected value of Y? Write your answer as a decimal.

The table below shows the probability distribution of a random variable Y Y PY 14 061 13 001 12 003 11 012 10 023 What is the expected value of Y Write your ans class=

Respuesta :

The expected value of the probability distibution is -12.65

Here, we want to get the expected value of the variable y

Mathematically, this is the sum of the products of the individual y value and their probabilities

We have this as;

[tex]\Sigma\text{ y}\times\text{ p(y)}[/tex]

Where this is;

[tex]\begin{gathered} (-14\times0.61)\text{ + (-13}\times0.01)\text{ + (-12}\times0.03)\text{ + (-11 }\times\text{ 0.12) + (-10}\times0.23) \\ =\text{ -8.54-0.13-0.36-1.32-2.3 = -12.65} \end{gathered}[/tex]

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